4191768636 has 144 divisors (see below), whose sum is σ = 10993248000. Its totient is φ = 1241982720.

The previous prime is 4191768631. The next prime is 4191768641. The reversal of 4191768636 is 6368671914.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4191768631) and next prime (4191768641).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4191768631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21064065 + ... + 21064263.

It is an arithmetic number, because the mean of its divisors is an integer number (76342000).

Almost surely, 2^4191768636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4191768636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5496624000).

4191768636 is an abundant number, since it is smaller than the sum of its proper divisors (6801479364).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4191768636 is a wasteful number, since it uses less digits than its factorization.

4191768636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 467 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The square root of 4191768636 is about 64743.8694858440. The cubic root of 4191768636 is about 1612.3739314215.

The spelling of 4191768636 in words is "four billion, one hundred ninety-one million, seven hundred sixty-eight thousand, six hundred thirty-six".